Question

Equação do segundo grau resposta
X²-4x-12=0

Answer 1

$x^2-4x-12=0 \\\\ a = 1; b = -4 \ e \ c = -12 \\\\ \Delta = b^2 - 4ac \\ \Delta = (-4)^2 - 4*1*(-12) \\ \Delta = 16 + 48 \\\ \Delta = 64 \\\\ x = \frac{-b+- \sqrt{\Delta} }{2a} \\\\ x = \frac{4+- \sqrt{64}}{2*1} \\\\ x = \frac{4+-8}{2} \\\\ \boxed{x_I = \frac{4+ 8}2{} = \frac{12}{2} = 6} \\\\ \boxed{x_{II} = \frac{4-8}{2} = \fraac{-4}{2} = -2}$

Answer 2

Olá, boa noite ☺

Resolução:

x² - 4x - 12 = 0.

Coeficientes:

a=1
b=-4
c=-12

Valor de delta:

Δ=b²-4.a.c
Δ=(-4)²-4.1.(-12)
Δ=16+48
Δ=64.

Valores de x:

$\\ x= \dfrac{-b \pm \sqrt{\Delta} }{2a} \\ \\ x= \dfrac{-(-4) \pm \sqrt{64} }{2.1} \\ \\ x= \dfrac{4 \pm 8 }{2} \\ \\ x'= \dfrac{4 + 8 }{2}=6 \\ \\ x''= \dfrac{4 - 8 }{2}=-2$
,
S={6,-2}.

Bons estudos :)